A qardemer wauts to comstruct a diffent mateYíal of fencine with a area of 830 A; fori2oppasit Side; one material of fameing cost $7 ·Per foot aud the other sides willuse the other maferial costimg #4 per foot. Constraint xy = 830 bjetive: ostlor perimeber = lyx +8y rectany elarfielol emclased by comme 14x +8Y a) the dimeaution Hat wil mini mizethe cast. Riourdol 1 ote eiural. thc mimimiced cost, Rounmo) 2 decimal ploces-

Q: A food manufacturer packages his product in 1-liter cans that are right circular cylinders. If the…

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Q: 2 = √x²+y²² with cone +2=4 Find the volume between the spheres. draw the shape. x²₁y² +2²=2

A: We need to find the volume between the cone z=√(x^2+y^2) and the sphere x^2+y^2+z^2=4

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Q: A cylindrical drum is to be manufactured from a synthetic material and is to hold 547 m³ of liquid.…

A: The solution is given below in the next step:

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Q: 3) Here is a triple integral: TT TT 2 2 3 ||| p² sin(@) dpdedo 0 0 2 Describe the region in space…

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Q: Find the minimum cost of a rectangular box of volume 160 cm³ whose top and bottom cost 5 cents per…

A: Given: The volume of the rectangular box is 160 cm3. The cost of top and bottom is 5 cents per cm2.…

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Q: A package in the shape of a rectangular box can be sent by post as a postal order if the sum of its…

A: Solution by using Lagrange multipliers as follows :

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Q: If 1200 cm² of material is used to make a closed cardboard box with a square base. Find the exact…

A: This question can be solved using the concept of maxima and minima.

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A: Assume  it is square base box side of square = l height of box = h

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A: Given boundary of a field is a right triangle with straight stream along its hypotenuse          The…